Compare 40/45 and 20/54
40/45 is greater than 20/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 45 × 6 = 270,
40/45 = 40 × 6/45 × 6 = 240/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
20/54 = 20 × 5/54 × 5 = 100/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/270 > 100/270 or 40/45 > 20/54
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